A few very large incomes are added to a list. Which centre measure shifts most?
AMedian and mode
BMedian alone
CMode alone
DArithmetic mean
Answer & Solution
Correct answer: D. Arithmetic mean
1. The mean uses the value of every observation, so large values pull it up.
2. The median depends only on the middle position of ordered data.
3. The mode depends only on the most frequent value.
So median and mode barely change, and the mean moves most.
_Source: Wikipedia, Arithmetic mean, lead section_
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